A scientist claims that people who eat high-fibre cereals for breakfast consume fewer kilojoules on the average for lunch than people who do not eat high-fibre cereals for breakfast.

A researcher randomly selected30 peopleand asked them what they regularly ate for breakfast and lunch. Each person was identified as a consumer or non-consumer of high-fibre cereal, and the number of kilojoules consumed at lunch was recorded. The following table summarises the data collected.

Equal population variances are assumed.

At the5% level of significance, is there evidenceto suggestthat themeankilojoule intake of consumers of high-fibre cereals isequal tothat of the non-consumers.Answer the question using thesix-step hypothesis testing process.